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Finding the Third Proportional to 547.66 and 737.96

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Solution

The third proportional to 547.66 and 737.96 is: 994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 737.96 = 737.96 : x
  2. Step 2: Convert to fraction form
    547.66/737.96 = 737.96/x
  3. Step 3: Cross multiply
    547.66x = 737.96 × 737.96
  4. Step 4: Simplify right side
    547.66x = 544,592.11
  5. Step 5: Solve for x
    x = 544,592.11/547.66
  6. Step 6: Final answer
    x = 994.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.